================================================
Explanation:
x = time it takes for the bell to ring, time is in minutes
d = distance from his house to the school, in meters
distance = rate*time
If Andrew walks at a speed of 50 meters per minute, then he'll be 3 minutes late. This means he took x+3 minutes to get to class. The x represents the amount of time it takes if he arrived on time, then the +3 is those 3 minutes he is late. We then write
d = 50(x+3)
d = 50x+150
If he runs to school, then he's 3 minutes early. So he took (x-3) minutes to get to class. His rate is 80 meters per minute
d = 80(x-3)
d = 80x-240
We're referring to the same distance (d) value, which allows us to perform substitution to solve the two equations we formed
80x-240 = 50x+150
80x-50x = 150+240
30x = 390
x = 390/30
x = 13
Andrew has 13 minutes to get to class.
-------------------
Checking the answer:
If he walks at a speed of 50 m per minute, then he'll be 3 minutes late. So he really took 13+3 = 16 minutes to arrive. His distance traveled is d = r*t = 50*16 = 800 meters.
If he ran 80 m per minute, and is 3 minutes early, then he took 13-3 = 10 minutes to get to class. His distance is the same as before d = r*t = 80*10 = 800 meters. The fact we get 800 both times helps confirm we have the right answer.
Andrew has 13 minutes to get to class.
What is Algebra?Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
In algebra, we use numbers like 2, −7, 0.068 etc., which have a definite or fixed value. In algebra we use variables like x, y, and z along with numbers.
Now, let x be the time it takes for the bell to ring.
let d be the distance from his house to the school, in meters
distance = speed*time
If Andrew walks at a speed of 50 meters per minute, then he'll be 3 minutes late.
So, Andrew took x+3 minutes to get to class.
Here in the expression +3 shows that she is late.
So,
d = 50(x+3)
d = 50x+150
Now, If he runs to school, then he reached 3 minutes early.
So, toe get in class he will take (x-3) minutes
Here -3 show the child reached early
d = 80(x-3)
d = 80x-240
Since the distance is same.
So, the two equations are equal.
80x-240 = 50x+150
80x-50x = 150+240
30x = 390
x = 390/30
x = 13
Hence, Andrew has 13 minutes to get to class.
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A. There is no solution, and it is shown by region B
B. There is no solution
C. There is a solution, and it is shown by region C
D. There is a solution, and it is shown by region A
Answer:
A
Step-by-step explanation:
Which of the following are true statements about minerals?
I. Minerals are naturally occurring substances.
II. Each mineral has a specific chemical makeup.
III. Minerals can be solids, liquids, or gases.
IV. Rocks are made of minerals.
Answer:
1,2 and 4 are correct.
Step-by-step explanation:
A mineral cannot be a liquid or a gas.
Answer:
|, ||, |V
Step-by-step explanation:
Only I, II, and IV are true. Minerals are solid, naturally occurring inorganic substances, each having a specific chemical makeup. Each mineral also has a particular type of ordered internal structure. Rocks are made of two or more minerals.
Susan placed $9900 in a savings account which compounds interest continuously at a rate of 1.9 %. How much will she have in the account after 6 years?
Answer:
$11095.45
Step-by-step explanation:
This is a problem in continuous compounding, for which the formula is
P = Ae^rt, r being the annual interest rate as a decimal fraction and t being the time in years. Here we have:
P = $9900e^(0.019)(6) = $11095.45
Answer:
11095
Step-by-step explanation:
Rounding to the nearest dollar
posts does Tom need and what are the
dimensions of the fence?
I postdyards Therefore, Dimensions are
A bag of marbles can be shared equally among 3,
or 6 students with none left over. What's the least
amount of marbles that can be in the bag?
If there are 150 people born in the world every
minute; how many are bom every Hour? Day?
Year?
Answer:
1) 3 marbles
2) The number of people born every hour is 9000 people
The number of people born every day is 216,000 people
The number of people born every year = 78,840,000 people
Step-by-step explanation:
1) The given information are;
The number of students = 3 or 6
Amount of marbles remaining after sharing = None
Least amount of marbles that can be shared equally among the students = Condition each student gets one marble = 1 × 3 = 3 marbles
The least amount of marbles that can be shared equally among the students = 3 marbles
2) The number of people born int eh world every minute = 150 people
The number of minute in one hour = 60 minutes
∴ The number of people born every hour = 150 × 60 = 9000 people
Given that the number of hours in one day = 24 hours
∴ The number of people born every day = 9000 × 24= 216,000 people
Given that the number of days in one year = 365 days
∴ The number of people born every year = 216,000 × 365= 78,840,000 people
Solve the system of equations by substitution y=-2x+18 and 4y-x+9=0
x = 9
y = 0
Step-by-step explanation:y = -2x + 18
4y - x + 9 = 0
4(-2x + 18) - x + 9 = 0
- 8x + 72 - x + 9 = 0
- 9x + 81 = 0
81 = 9x
x = 81 : 9
x = 9
y = - 2×9 + 18
y = - 18 + 18
y = 0
50 points, show your work. This table shows the battery life of 4 different mobile phones: Phone A: 20 hours Phone B: 25 hours Phone C: 10 Hours Phone D: 18 hours. If 8.45% of the battery life of each mobile phone is used in a day by a typical user, for which mobile phone is 0.8 hour of battery life used in a day? Phone A Phone B Phone C Phone D
Answer:
phone c :)
Step-by-step explanation:
Sam purchased 3 1/4 pounds of cheese. He used half of the purchased cheese for a casserole and 1/4 pound for sandwiches. Express as a mixed number the number of the number of pounds of cheese he has left.
Answer:
1 3/8 lbs.
Step-by-step explanation:
3 1/4 x 1/2 = 1 5/8
1 5/8-1/4=
1 5/8-2/8=
1 3/8
(07.04 LC)What is the solution to the equation fraction 1 over 6x = 2?
Answer:
x = 12
Step-by-step explanation:
multiply both sides by the reciprocal of [tex]\frac{1}{6}[/tex], which is 6
x = 12
Answer: x is 12
Step-by-step explanation:
When a business company increased its profit from 20% to 25% the amount of profit increased to Rs 26,04,000. If the company decided to distribute 50 % bonus to its 20 employees equally from the increased amount of profit, how much bonus will each employee receive?
Answer:
1 Employee gets = Rs 13,020
Step-by-step explanation:
25% profit = Rs 26,04,000
Bonus is always 20% of the profit
So, Bonus:
=> 26,04,000/5
=> Rs 520,800
50% bonus from the profit = 520,800/2
=> Rs 260,400
This was divided equally among 20 employees.
So, Each Employ gets:
=> 1 Employee = 260,400/20
=> 1 Employee gets = Rs 13,020
You must buy bags of cement to pour a cement pad for a hot tub. You need to fill the pad frame which is a square frame measuring 8 feet long and 1 foot high. Each bag of cement will fill 5 cubic feet. How many bags will you need to buy to ensure enough to fill the entire frame?
please show all steps
Answer:
13
Step-by-step explanation:
volume of pad : 8x8x1=64
64/5=12.8
so you would need 13 bags
Answer:
Step-by-step explanation:
Since the pad frame is a square frame measuring 8 feet long and 1 foot high, we would determine its volume by applying the formula for determining the area of a cuboid which is expressed as
Volume = length × width × height
Volume of pad frame = 8 × 8 × 1 = 64 cubic feet
Since each bag of cement will fill 5 cubic feet, then the number of bags that you will need to buy to ensure enough to fill the entire frame is
64/5 = 16.8
Approximately 17 bags
Michelle is changing her health care insurance and deciding between two different plans that charge the
same premium. Plan A has a $1,700 deductible with 20% coinsurance. Plan B has a $1,450 with 30%
coinsurance. Michelle had a total of $8,450 in medical bills last year. Under which plan would Michelle's
share have been less? Support your answer with mathematical calculations. Answer in complete
sentence.
plan B would share less
because, 20% of 1700 is 340 and 30% of 1450 is 435
I hope this helps!!
Answer:
plan A
Step-by-step explanation:
Plan A
1700-8450=6750*.20=1350+1700=3050
Plan B
1450-8450=7000*.30=2100+1450=3550
Answer=Plan A
HERE a question........
Answer:
6
Step-by-step explanation:
Split the shape into two shapes, one square and one triangle.
Find the area of the square and area of triangle.
area of square = 2 × 2 = 4
The height of the triangle is 4 - 2 = 2 units.
area of triangle = 2 × 2 × 1/2 = 2
Add the areas.
4 + 2 = 6
The area is 6 units².
Answer:
6
Step-by-step explanation:
It would be easier to divide this shape into a square and a triangle.
square = 2*2 = 4
triangle = [tex]\frac{2*2}{1/2}[/tex] = 2 (2 triangles make squares so 1 triangle is half)
And 4 + 2 = 6
Please help me with this geometry question :((
Answer:
95
Step-by-step explanation:
GH = SR
SR = 30
FG =TS
TS = 39
104-39 =65
30+65 =95
Please help will mark brainly
Answer:
$10.10
Step-by-step explanation:
We are told that she bought 3 CDs of the same price. Her total was $34.20 with $3.90 tax. We want to find the price of a CD before tax.
Since we are finding the price before tax, we need to subtract the tax from the total.
total - tax
We know she paid $34.20 with the tax of $3.90
$34.20 - $3.90
Subtract
$30.30
The total before tax was $30.30
Now we must find the price of a CD. Each CD is the exact same price, and she bought 3. Therefore, we can divide the total before tax ($30.30) by 3.
$30.30 / 3
Divide
$10.10
Each CD costs $10.10 before tax.
Answer:
10.1 $
Step-by-step explanation:
The total price Lella paid was 34.20 $ wich includes the Cd's price and the taxes
The taxes value is 3.9 $
So we need to substract 3.9 $ from 34.20 $ to get the price of the Cds
34.20 -3.9 = 30.3
The total price of the cds is 30.3 $
There are 3 cds with the same price
To get the price of each Cd divife the total of cds by 3
30.3÷3 = 10.1
The price of 1 cd is 10.1$
What is the value of x to the nearest tenth? The figure is not drawn to scale.
5.4
6.3
11.2
x
Answers:
A. x=2.1
B. x=3.4
C. x=9.6
D. x=13.1
Answer:
we need picture
Step-by-step explanation:
probaby d tho
Which expressions are equivalent to (5g+3h+4)⋅2
Select all that apply:
(5g+3h)⋅8
(5g+3h)⋅6
None of the above
Answer:
The answer is
None of the above
Hope this helps you
Answer:
None of the above
Step-by-step explanation:
Can someone help with this.... thanks!
Answer:
3244.5
Step-by-step explanation:
LxW=A
Which equation represents a line that has a slope of Negative one-half and passes through point (4, –5)? y = negative one-half x + three-halves y = negative one-half x + StartFraction 13 Over 2 EndFraction y = negative one-half x minus 7 y = negative one-half x minus 3
Answer:
y = (-1/2)x - 3
Step-by-step explanation:
Please present the equation symbolically instead of in words:
m = -1/2, passing through (4, -5):
Using the slope-intercept formula y = mx + b, and using m = -1/2, x = 4 and y = -5, we get:
-5 = (-1/2)(4) + b, or -5 = -2 + b. Then b = -3 and the desired equation is:
y = (-1/2)x - 3
y = -x/2 - 3 equation represents a line that has a slope of -1/2 and passes through point (4, –5)
What is the equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Given that a line has slope -1/2 and passes through point (4, -5)
The standard equation of a line is y = mx + c where m is the slope of the line.
Solving for c,
-5 = -1/2*4 + c
c = -3
Hence, y = -x/2 - 3 equation represents a line that has a slope of -1/2 and passes through point (4, –5)
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PLEASE READ BEFORE PROCEEDING! I want you all to get the answer without wasting money so you can still answer with something but I will still place the answer at the end of the question. What are two factors of the composite number 46 other than 1 and 46? A. 3 and 7 B. 2 and 13 C. 2 and 23 D. 3 and 33 ANSWER : C. 2 and 23
Answer:
The answer is C:2 and 23
Step-by-step explanation:
Answer:
U have told the answer in the ques. then why r u asking question.
U know the answer already...
Find how many quarts of 6% butterfat milk and 1% butterfat milk should be mixed to yield 75 quarts of 3% butterfat milk.
The mixture should contain quarts of the 6%
Answer:
30 gallons of 6% milk, and 45 gallons of 1% milk.
Step-by-step explanation:
x=quarts of 6% butterfat
First, write an equation.0.06x+0.01(75-x)=0.03*75
Multiply both sides by 100.0.06x*100+0.01*100(75-x)=100*0.03*75
Simplify6x+75-x=3*75
6x+75-x=225
Solve5x=225-75=150
5x=150
x=30
75-30=45
So, we need 30 gallons of 6% milk, and 45 gallons of 1% milk.
So, the mixture contains 60 quarts of 6% milk and 15 quarts of 1% milk
Linear Equation:The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1
Let [tex]x[/tex] quats and [tex]y[/tex] quats of 6% and 1% butterfat milk then,
[tex]x+y=75...(1)[/tex]
And
[tex]\frac{6x}{100} +\frac{y}{100} =375\\6x+y=375...(2)[/tex]
Now, solving equations (1) and (2) we get,
[tex]x=60\\y=15[/tex]
Learn more about the topic linear equations:
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Question, listed below
Answer: 3/5
Step-by-step explanation:
This spinner has 5 sections, 3 of which are pink. Thus, you have a 3/5 chance to get pink.
Total outcomes: 5
Favored outcomes: 3
Hope it helps <3
Answer:
P = [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Total Parts = 5
Pink Parts = 3
Probability = [tex]\frac{No. OfPossible Outcomes}{No.OfFavourable Outcomes}[/tex]
P = [tex]\frac{3}{5}[/tex]
whats 1,112,433 rounded to nearest ten thousand
Answer:
1,110,000
Step-by-step explanation:
1,112,433
↑ this is the digit in the ten thousand place
We look at the digit below to determine if we need to round up
2 is less than 5 so we leave the digit in the ten thousands place alone
1,110,000
Answer:
1110000
Step-by-step explanation:
2 is smaller than 5 so it will round to 0 and so will everything under it.
Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) in slope-intercept form and (b) in standard form.
(8,6); perpendicular to 2x - y = 4
(a) Write the equation of the line in slope-intercept form.
Answer:
y = -[tex]\frac{1}{2}[/tex]x + 10
Step-by-step explanation:
To find the equation of a line that passes through the point (8,6) and perpendicular to the equation 2x - y = 4, we will follow the steps below:
first write the equation 2x - y = 4 in a standard form
we will find the slope of our equation using this equation
2x - y = 4
y = 2x -4
comparing the above with
y = mx + c
m = 2
[tex]m_{1}[/tex][tex]m_{2}[/tex] = -1 ( slope of perpendicular equations)
2[tex]m_{2}[/tex] = -1
[tex]m_{2}[/tex] = -1/2
our slope m = -1/2
We can now go ahead and form our equation
[tex]x_{1}[/tex] =8 [tex]y_{1}[/tex] =6
y-[tex]y_{1}[/tex] = m (x-[tex]x_{1}[/tex])
y-6 = -[tex]\frac{1}{2}[/tex](x-8)
y-6 = -[tex]\frac{1}{2}[/tex]x + 4
y= -[tex]\frac{1}{2}[/tex]x+4+6
y = -[tex]\frac{1}{2}[/tex]x + 10
QUESTION 8
Simplify the expression
(5-4 (25)*)?
expressing the answer as a power of 5.
Step-by-step explanation:
Do you mean (5-4)*(25) or 5-4(25)
(5-4) * (25)
= 5^2
Or
5-4(25)
=5 - 100
=-95
?
If you can buy one can of pineapple chunks for $2 then how many can you buy with $10?(WITH PROPORTIONS PLEASE)
Answer:
5 cans
Step-by-step explanation:
$2/1 can = $10/x cans
x = 5
Answer:
5
Step-by-step explanation:
10 divided by 2 equalls 5
PLEASE HELP!!!! I WILL GIVE BRAINLIEST AND LOTS OF POINTS!!! Please provide an explanation and answer only if you know the answer for sure. In the following diagram, BC is parallel to DE. What is the measure of angle х? **Angles are not necessarily drawn to scale.**
Answer:
x = 29
Step-by-step explanation:
If the lines are parallel
< CBA = < DAB due to the fact that they are alternate interior angles
42 = DAB
We also know that
DAB + BAC + CAE = 180 since they form a straight line
Substituting the given values
42+ 109 + x = 180
Combine like terms
151 + x = 180
151+x-151 = 180-151
x = 29
Select the best answer for the question.
2. Find the sum of the first 8 terms of a geometric series in which a1 = 3 and r= 2.
=============================================
Work Shown:
a = 3 is the first term
r = 2 is the common ratio
Sn = a*(1-r^n)/(1-r) ... sum of the first n terms
S8 = 3*(1-2^8)/(1-2) ... sum of the first 8 terms
S8 = 3*(-255)/(-1)
S8 = 765
----------
We can generate the first 8 terms to get 3, 6, 12, 24, 48, 96, 192, 384. Each new term is found by multiplying the previous one by 2.
Then add them up to get 3+6+12+24+48+96+192+384 = 765. We get the same result.
Answer: Answer: 765
Work Shown:
a = 3 is the first term
r = 2 is the common ratio
Sn = a*(1-r^n)/(1-r) ... sum of the first n terms
S8 = 3*(1-2^8)/(1-2) ... sum of the first 8 terms
S8 = 3*(-255)/(-1)
S8 = 765
(10 points!) Help is appreciated!! :)
Answer:
D) f(x)=(1/2)^x, g(x)=(1/8)^x, h(x)=(2/3)^x.
Step-by-step explanation:
Which statements about this system of equations are true? Check all that apply 2 x minus 7 y = negative 13. Negative 2 x + 11 y = 1. The x-variable will be eliminated when adding the system of equations. The y-variable will be eliminated when adding the system of equations. The sum of the system of equations is 4 y = negative 12. x = 17 y = negative 3 There are infinitely many solutions to the system of equations.
Answer:
1 and 3.
Step-by-step explanation:
The given system of equations
[tex]2x-7y=-13[/tex] ...(1)
[tex]-2x+11y=1[/tex] ... (2)
Here, coefficients of x have same values with opposite signs.
The x-variable will be eliminated when adding the system of equations.
Add (1) and (2), we get
[tex]2x-7y-2x+11y=-13+1[/tex]
[tex]4y=-12[/tex]
Divide both sides by 4.
[tex]y=-3[/tex]
Put y=-3 in (1).
[tex]2x-7(-3)=-13[/tex]
[tex]2x+21=-13[/tex]
[tex]2x=-13-21[/tex]
[tex]2x=-34[/tex]
Divide both sides by 2.
[tex]x=-17[/tex]
So, the given system of equations have unique solution, i.e., (-17,-3).
Therefore, the correct options are 1 and 3.
Plss who can solve this plsss
Answer:
The answer is B.
Step-by-step explanation:
First you have to find the angle of ATB. Given that ∠TAB and ∠TBA have the same angle and the total angle in a triangle is 180°. So you have to subtract :
∠TAB + ∠TBA + ∠ATB = 180°
∠ATB + 62° + 62° = 180°
∠ATB + 124° = 180°
∠ATB = 180° - 124°
∠ATB = 56°
A tangent to a circle will always be 90°, so ∠TAO and ∠TBO are 90°. In a quadrilateral, total angles is 360°. So the angle of AOB is :
∠ATB + ∠TAO + ∠TBO + ∠AOB = 360°
56° + 90° + 90° + ∠AOB = 360°
236° + ∠AOB = 360°
∠AOB = 360° - 236°
∠AOB = 124°